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TIFR Mathematics 2022 | Part B | Question: 16

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Answer whether the following statements are True or False.

Let $a_{n} \geq 0$ for each positive integer $n$. If the series $\sum_{n=1}^{\infty} \sqrt{a_{n}}$ converges, then so does the series $\sum_{n=1}^{\infty} \frac{a_{n}}{n^{1 / 4}}$.

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